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Finding the Third Proportional to 434,909 and 899,650

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Solution

The third proportional to 434,909 and 899,650 is: 1,861,010.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    434,909 : 899,650 = 899,650 : x
  2. Step 2: Convert to fraction form
    434,909/899,650 = 899,650/x
  3. Step 3: Cross multiply
    434,909x = 899,650 × 899,650
  4. Step 4: Simplify right side
    434,909x = 809,370,122,500
  5. Step 5: Solve for x
    x = 809,370,122,500/434,909
  6. Step 6: Final answer
    x = 1,861,010.29

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Why These Related Problems?

These problems maintain the same ratio (2.07) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.